An Introduction to Pull-backs of Bundles and Homotopy Invariance
| dc.creator | Morrison, Scott | |
| dc.date | 2001-05-19 | |
| dc.date.accessioned | 2026-07-07T04:41:46Z | |
| dc.date.available | 2026-07-07T04:41:46Z | |
| dc.description | We define the pull-back of a smooth principal fibre bundle, and show that it has a natural principal fibre bundle structure. Next, we analyse the relationship between pull-backs by homotopy equivalent maps. The main result of this article is to show that for a principal fibre bundle over a paracompact manifold, there is a principal fibre bundle isomorphism between pull-backs obtained from homotopic maps. This enables simple proofs of several results on the structure of principal fibre bundles. No new results are obtained---this is simply an accessible presentation of an important idea. | |
| dc.description | 5 pages; an introductory note; unpublished | |
| dc.identifier | https://arxiv.org/abs/math/0105161 | |
| dc.identifier | http://arxiv.org/abs/math/0105161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61499 | |
| dc.subject | Differential Geometry | |
| dc.subject | 55R15 | |
| dc.title | An Introduction to Pull-backs of Bundles and Homotopy Invariance | |
| dc.type | text |